Modelling fluids and crystals using a two-component modified phase field crystal model

Abstract

A modified phase field crystal model in which the free energy may be minimised by an order parameter profile having isolated bumps is investigated. The phase diagram is calculated in one and two dimensions and we locate the regions where modulated and uniform phases are formed and also regions where localised states are formed. We investigate the effectiveness of the phase field crystal model for describing fluids and crystals with defects. We further consider a two component model and elucidate how the structure transforms from hexagonal crystalline ordering to square ordering as the concentration changes. Our conclusion contains a discussion of possible interpretations of the order parameter field.

References in corpus (9)

• Theoretical perspective on the glass transition and amorphous materials
• Supercooled Liquids for Pedestrians
• Phase-field crystal study of grain-boundary premelting
• Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
• Derivation of the phase field crystal model for colloidal solidification
• Phase behavior of a fluid with competing attractive and repulsive interactions
• Morphology changes in the evolution of liquid two-layer films
• Two-dimensional fluid with competing interactions exhibiting microphase separation: theory for bulk and interfacial properties
• A model colloidal fluid with competing interactions: bulk and interfacial properties

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